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Ermm, it's very high-res on my Retina Macbook Pro. Maybe a reboot fixes the problem?
Here's a screenshot:

Well, I guess you have to start somewhere. I started the Mac version primarily because I wanted to add iCloud support to the iOS apps. I figured a Mac companion would be great so that you could edit the iCloud files on all your devices.
So currently, the support for modern Mac OS X features like iCloud, Versions, AutoSave combined with the availability of iOS apps is really the key differentiator of Textastic for Mac compared to other apps. I'm not aware of another app that does that.
I didn't really try to compete with the big guys like Sublime Text, TextMate or BBEdit. The price point is low compared to these other apps for a reason. But, I'll keep adding features to the app and who knows: for many people it might have just enough functionality to be their main second editor.
I'm trying to use the app exclusively for editing small files and websites - basically everything I don't do in Xcode. For me, the biggest missing features is support for folders so that I can browse and read bigger projects: http://feedback.textasticapp.com/topic/158682-ability-to-open-a-folder-switch-between-files-using-a-hierarchical-file-browser/
I have started to work on this feature now that the iCloud update for the iOS apps is out.
You can refresh the file listing by using pull-to-refresh: Just pull the list down and it will update the listing.
If you bring up the preview screen for your LaTeX file, you can switch to "Remote" where you can enter an arbitrary HTTP url that will be downloaded and displayed.
For example, you could save the generated PDF into Dropbox and then enter the public Dropbox URL into the remote preview address bar.
Or if your computer has a web server, you could put the PDF into a folder that is published by the web server and use that HTTP URL in Textastic's preview screen.
Just tap and hold the file in the "Files" section and choose "Open In..." in the menu that comes up. See http://www.textasticapp.com/v4/manual/lessons/How_can_I_view_an_image_file_or_open_it_in_another_app.html
Here's the documentation for the x-callback-url actions that will be supported in Textastic 4.4:
An update is currently in review at Apple. It will be available as soon as it is approved.
Customer support service by UserEcho
Phew! :)